Search a number
-
+
5858216 = 237132619
BaseRepresentation
bin10110010110001110101000
3102000121221222
4112112032220
52444430331
6325321212
7100536230
oct26261650
912017858
105858216
113341401
121b66208
1312a1600
14ac6cc0
157aab7b
hex5963a8

5858216 has 48 divisors (see below), whose sum is σ = 13615200. Its totient is φ = 2313792.

The previous prime is 5858201. The next prime is 5858219. The reversal of 5858216 is 6128585.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5858219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9155 + ... + 9773.

It is an arithmetic number, because the mean of its divisors is an integer number (283650).

Almost surely, 25858216 is an apocalyptic number.

5858216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5858216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807600).

5858216 is an abundant number, since it is smaller than the sum of its proper divisors (7756984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5858216 is a wasteful number, since it uses less digits than its factorization.

5858216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 641 counting only the distinct ones).

The product of its digits is 19200, while the sum is 35.

The square root of 5858216 is about 2420.3751775293. The cubic root of 5858216 is about 180.2693088041.

The spelling of 5858216 in words is "five million, eight hundred fifty-eight thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 619 676 728 1183 1238 1352 2366 2476 4333 4732 4952 8047 8666 9464 16094 17332 32188 34664 56329 64376 104611 112658 209222 225316 418444 450632 732277 836888 1464554 2929108 5858216